Question

Answer 1

Để hệ có vô số nghiệm thì \(\dfrac{\sqrt{2}}{5\sqrt{2}}=\dfrac{m}{5\sqrt{3}}=\dfrac{\sqrt{3}}{5m}\)

=>\(\dfrac{m}{5\sqrt{3}}=\dfrac{\sqrt{3}}{5m}=\dfrac{1}{5}\)

=>\(\left\{{}\begin{matrix}m=\dfrac{5\sqrt{3}}{5}=\sqrt{3}\\5m=5\sqrt{3}\end{matrix}\right.\Leftrightarrow m=\sqrt{3}\)